Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications in Mathematical Physics

On the Born-Oppenheimer approximation of wave operators in molecular scattering theory

Markus Klein, André Martínez, X. P. Wang

Published Feb 1, 1993• 32 citations
Publisher
DOI
10.1007/bf02097058

Related papers

Born-Oppenheimer Reduction of Quantum Evolution of Molecules(Spectral and Scattering Theory and Related Topics)

André Martínez, Vania Sordoni

数理解析研究所講究録•Jul 1, 2006•0 citations

Determination of Non-adiabatic Scattering Wave Functions in a Born-Oppenheimer Model

George A. Hagedorn, Alain Joye

arXiv:math-ph/0406041•Annales Henri Poincaré•Oct 1, 2005•19 citations

The Born-Oppenheimer approximation in an effective field theory framework

Gastão I. Krein

qchs•Jul 1, 2018•0 citations

Quasiclassical Born–Oppenheimer Approximations

Oleg Zaitsev, Romanas Narevich, R. E. Prange

arXiv:nlin/0009054•Foundations of Physics•Jan 1, 2001•6 citations

Born-Oppenheimer Approximation and Its Implications

Princeton University Press eBooks•Jun 5, 2018•0 citations

Born-Oppenheimer approximation for mass scaling of cold-collision properties

Stephan Falke, E. Tiemann, Christian Lisdat

Asymptotic levels of the $A$ $^{1}\ensuremath{\Sigma}_{u}^{+}$ state of the two isotopomers $^{39}\mathrm{K}_{2}$ and $^{39}\mathrm{K}^{41}\mathrm{K}$ up to the dissociation limit are investigated with a Doppler-free high resolution laser-spectroscopic experiment in a molecular beam. The observed level structure can be reproduced correctly only if a mass dependent correction term is introduced for the interaction potential. The applied relative correction in the depth of the potential is ${10}^{\ensuremath{-}6}$, which is in the order of magnitude expected for corrections of the Born-Oppenheimer approximation. A similar change in ground state potentials might lead to significant changes of mass-scaled properties describing cold collisions like the $s$-wave scattering length.

arXiv:0706.2290•Physical Review A•Jul 31, 2007•7 citations
Asymptotic levels of the AAA $^{1}\ensuremath{\Sigma}_{u}^{+}$ state of the two isotopomers 39K2^{39}\mathrm{K}_{2}39K2​ and 39K41K^{39}\mathrm{K}^{41}\mathrm{K}39K41K up to the dissociation limit are investigated with a Doppler-free high resolution laser-spectroscopic experiment in a molecular beam. The observed level structure can be reproduced correctly only if a mass dependent correction term is introduced for the interaction potential. The applied relative correction in the depth of the potential is ${10}^{\ensuremath{-}6}$, which is in the order of magnitude expected for corrections of the Born-Oppenheimer approximation. A similar change in ground state potentials might lead to significant changes of mass-scaled properties describing cold collisions like the sss-wave scattering length.